Y10 Foundation: Topic 27: Information from large data sets

Objectives:

    • Identify the modal class interval in grouped and ungrouped frequency distributions
    • Find the class interval containing the median value
    • Find the mean of an ungrouped frequency distribution
    • Find an estimate for the mean of a grouped frequency distribution by using the mid-interval value
    • Use the statistical functions on a calculator or a spreadsheet to calculate the mean for discrete data

Prior Knowledge:


    • Information from small datasets
    • Finding the average of two numbers (ie the midpoint)

Key Vocabulary:

  • Copy and paste here.

Differentiation & Extension:


    • Find the mean for grouped continuous data with unequal class intervals
    • Collect continuous data and decide on appropriate (equal) class intervals; then find measures of average
    • Find the median by cumulative frequency diagram
    • Consider other measures of spread, eg interquartile range; appreciate advantages/limitations of the range
    • Use the statistical functions on a calculator or a spreadsheet to calculate the mean for continuous data

Using & Applying ideas:

  • Collaborate here.

NOTES

    • Students should be aware that the actual mean cannot be calculated from a grouped frequency distribution; and that using the midpoint of the class intervals gives the best estimate for the mean
    • The modal class is found for grouped frequency distributions in which the class intervals are equal

Teaching & Learning Resources:


3D Shapes Resources